Journal ArticleDOI
Gl2 of rings with many units
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In this paper, the generiators and normal subgroups of GL2(R) are described, where R is a commutative ring with "many units" and G is the number of units.Abstract:
This paper describes the generiators and normal subgroups of GL2(R) where R is a commutative ring with “many units”.read more
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A module structure on certain orbit sets of unimodular rows
TL;DR: An algebraic version of cohomotopy groups is developed in this article, and the stabilization problem for the K 1 of Bass is studied for matrices that are much smaller than those treated classically.
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Linear groups
TL;DR: In this article, a survey of papers abstracted inReferativnyi Zhurnal Matematika during the period 1978-1982 is presented, which is a continuation of the surveys "Linear groups" published in 1967, 1971 and 1977 in the seriesAlgebra, Topology, Geometry (Itogi Nauki i Tekhniki).
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Milnor K-theory of rings, higher Chow groups and applications
TL;DR: In this paper, it was shown that the Milnor K-group of a smooth semi-local algebra of geometric type over an infinite field surjects onto the higher Chow group for all n ≥ 0.
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Abstract homomorphisms of algebraic groups: problems and bibliography
TL;DR: In this paper, the abstract homomorphisms of algebraic groups are studied and problems and bibliographies are discussed. But the authors focus on the problem of finding a homomorphism of a group.
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Projective modules over rings with many units
TL;DR: McDonald et al. as discussed by the authors showed that the primitive condition implies that a polynomial whose values generate the unit ideal actually takes on an invertible value, and showed that such a condition applies to a large class of rings.
References
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$K$-theory and stable algebra
TL;DR: In this article, the authors present a legal opinion on the use of commercial or impression systématiques in the context of the IHES agreement with the conditions générales d'utilisation.
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Finite Factor Groups of the Unimodular Group
TL;DR: For n = 2, every finite group which can be generated by two elements of order two and three is a factor group of SL(2, Z) as discussed by the authors and the ladder relation holds.
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The normal and subnormal structure of general linear groups
TL;DR: In this paper, it was shown that if R is not a field, then for each ideal I of R the natural map R → R/I induces a homomorphism and, if 0 < I < R, the kernel of θ1 is a non-central normal subgroup of GLn(R) which does not contain SLn(r).